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stationary random sequence

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  • Stationary sequence — A stationary sequence is a random sequence such that the joint PDF (probability density function) of the sequence is invariant over time. If some random sequence X [n] is stationary then the following will hold:F X(x n, x {n+1},...,x {n+N… …   Wikipedia

  • Convergence of random variables — In probability theory, there exist several different notions of convergence of random variables. The convergence of sequences of random variables to some limit random variable is an important concept in probability theory, and its applications to …   Wikipedia

  • Mathematics and Physical Sciences — ▪ 2003 Introduction Mathematics       Mathematics in 2002 was marked by two discoveries in number theory. The first may have practical implications; the second satisfied a 150 year old curiosity.       Computer scientist Manindra Agrawal of the… …   Universalium

  • Whittaker–Shannon interpolation formula — The Whittaker–Shannon interpolation formula or sinc interpolation is a method to reconstruct a continuous time bandlimited signal from a set of equally spaced samples. Contents 1 Definition 2 Validity condition 3 Interpolation as convolution sum …   Wikipedia

  • Spectral density — In statistical signal processing and physics, the spectral density, power spectral density (PSD), or energy spectral density (ESD), is a positive real function of a frequency variable associated with a stationary stochastic process, or a… …   Wikipedia

  • Asymptotic equipartition property — In information theory the asymptotic equipartition property (AEP) is a general property of the output samples of a stochastic source. It is fundamental to the concept of typical set used in theories of compression.Roughly speaking, the theorem… …   Wikipedia

  • Detrended fluctuation analysis — In stochastic processes, chaos theory and time series analysis, detrended fluctuation analysis (DFA) is a method for determining the statistical self affinity of a signal. It is useful for analysing time series that appear to be long memory… …   Wikipedia

  • Monte Carlo method — Not to be confused with Monte Carlo algorithm. Computational physics …   Wikipedia

  • List of statistics topics — Please add any Wikipedia articles related to statistics that are not already on this list.The Related changes link in the margin of this page (below search) leads to a list of the most recent changes to the articles listed below. To see the most… …   Wikipedia

  • Wiener–Khinchin theorem — The Wiener–Khinchin theorem (also known as the Wiener–Khintchine theorem and sometimes as the Wiener–Khinchin–Einstein theorem or the Khinchin–Kolmogorov theorem) states that the power spectral density of a wide sense stationary random process is …   Wikipedia

  • Frequency probability — Statistical probability redirects here. For the episode of Star Trek: Deep Space Nine, see Statistical Probabilities. John Venn Frequency probability is the interpretation of probability that defines an event s probability as the limit of its… …   Wikipedia

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